7728103557900 has 1008 divisors, whose sum is σ = 28112278386528. Its totient is φ = 1827422208000.

The previous prime is 7728103557887. The next prime is 7728103557901. The reversal of 7728103557900 is 97553018277.

It is a happy number.

7728103557900 is a `hidden beast` number, since 7 + 7 + 2 + 81 + 0 + 3 + 557 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7728103557901) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5678253220 + ... + 5678254580.

It is an arithmetic number, because the mean of its divisors is an integer number (27889165066).

Almost surely, 2^{7728103557900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7728103557900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056139193264).

7728103557900 is an abundant number, since it is smaller than the sum of its proper divisors (20384174828628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7728103557900 is a wasteful number, since it uses less digits than its factorization.

7728103557900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 7728103557900 in words is "seven trillion, seven hundred twenty-eight billion, one hundred three million, five hundred fifty-seven thousand, nine hundred".